Question

What is the area of the composite figure?

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

a.
70 square centimeters

b.
100 square centimeters

Selected:c.
105 square centimeters

This answer is incorrect.
d.
130 square centimeters

Answer 1

Explanation:

it's really b. Just did the test and put 70 and got it wrong.

Answer 2

a. 70 square centimeters

Explanation:

The area of the composite figure = Area of trapezoid + Area of rectangle

Area of trapezoid =
`(1)/(2)` (a + b) h

=
`(1)/(2)` (12 + 13) × 5

=
`(1)/(2)` ×125

= 62.5

Area of trapezoid is 62.5
`cm^(2)`

Area of rectangle = length ×breadth

= 5 × 2

= 10
`cm^(2)`

Area of rectangle is 10
`cm^(2)`

The area of the composite figure = 62.5 + 10

= 72.5
`cm^(2)`

To 1 significant figure, the area of the composite is 70
`cm^(2)`.